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Baryon Resonances in the 1/N_c Expansion

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arxiv hep-ph/0501021 v1 pith:MPQT4NBW submitted 2005-01-04 hep-ph

Baryon Resonances in the 1/N_c Expansion

classification hep-ph
keywords baryonexpansionresonancesamplitudesdataprovidesscatteringagree
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The 1/N_c expansion of QCD provides a valuable semiquantitative tool to study baryon scattering amplitudes and the short-lived baryon resonances embedded within them. A generalization of methods originally applied in chiral soliton models in the 1980's provides the key to deriving a rigorous 1/N_c expansion. One obtains model-independent relations among amplitudes that impose mass and width degeneracies among resonances of various quantum numbers. Phenomenological evidence confirms that patterns of resonant decay predicted by 1/N_c agree with data. One may extend the analysis to subleading orders in 1/N_c, where again agreement with data is evident, in both meson-baryon scattering and pion photoproduction.

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